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Finding the Third Proportional to 141,856,284 and 306,345,912

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Solution

The third proportional to 141,856,284 and 306,345,912 is: 661,569,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,856,284 : 306,345,912 = 306,345,912 : x
  2. Step 2: Convert to fraction form
    141,856,284/306,345,912 = 306,345,912/x
  3. Step 3: Cross multiply
    141,856,284x = 306,345,912 × 306,345,912
  4. Step 4: Simplify right side
    141,856,284x = 93,847,817,799,111,744
  5. Step 5: Solve for x
    x = 93,847,817,799,111,744/141,856,284
  6. Step 6: Final answer
    x = 661,569,689.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.