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Finding the Third Proportional to 147,630,015 and 344,930,341.50

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Solution

The third proportional to 147,630,015 and 344,930,341.50 is: 805,912,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,630,015 : 344,930,341.50 = 344,930,341.50 : x
  2. Step 2: Convert to fraction form
    147,630,015/344,930,341.50 = 344,930,341.50/x
  3. Step 3: Cross multiply
    147,630,015x = 344,930,341.50 × 344,930,341.50
  4. Step 4: Simplify right side
    147,630,015x = 118,976,940,487,306,624
  5. Step 5: Solve for x
    x = 118,976,940,487,306,624/147,630,015
  6. Step 6: Final answer
    x = 805,912,947.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.