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Finding the Third Proportional to 105,432,868,705.50 and 160,616,081,968.50

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Solution

The third proportional to 105,432,868,705.50 and 160,616,081,968.50 is: 244,682,005,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,432,868,705.50 : 160,616,081,968.50 = 160,616,081,968.50 : x
  2. Step 2: Convert to fraction form
    105,432,868,705.50/160,616,081,968.50 = 160,616,081,968.50/x
  3. Step 3: Cross multiply
    105,432,868,705.50x = 160,616,081,968.50 × 160,616,081,968.50
  4. Step 4: Simplify right side
    105,432,868,705.50x = 25,797,525,786,911,911,706,624
  5. Step 5: Solve for x
    x = 25,797,525,786,911,911,706,624/105,432,868,705.50
  6. Step 6: Final answer
    x = 244,682,005,750.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.