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Finding the Third Proportional to 145,705,736 and 310,288,432

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Solution

The third proportional to 145,705,736 and 310,288,432 is: 660,776,395.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,705,736 : 310,288,432 = 310,288,432 : x
  2. Step 2: Convert to fraction form
    145,705,736/310,288,432 = 310,288,432/x
  3. Step 3: Cross multiply
    145,705,736x = 310,288,432 × 310,288,432
  4. Step 4: Simplify right side
    145,705,736x = 96,278,911,033,018,624
  5. Step 5: Solve for x
    x = 96,278,911,033,018,624/145,705,736
  6. Step 6: Final answer
    x = 660,776,395.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.