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Finding the Third Proportional to 143,553,411 and 314,896,788

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Solution

The third proportional to 143,553,411 and 314,896,788 is: 690,753,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,553,411 : 314,896,788 = 314,896,788 : x
  2. Step 2: Convert to fraction form
    143,553,411/314,896,788 = 314,896,788/x
  3. Step 3: Cross multiply
    143,553,411x = 314,896,788 × 314,896,788
  4. Step 4: Simplify right side
    143,553,411x = 99,159,987,092,716,944
  5. Step 5: Solve for x
    x = 99,159,987,092,716,944/143,553,411
  6. Step 6: Final answer
    x = 690,753,263.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.