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Finding the Third Proportional to 143,690,989.08 and 314,585,083.97

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Solution

The third proportional to 143,690,989.08 and 314,585,083.97 is: 688,726,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,690,989.08 : 314,585,083.97 = 314,585,083.97 : x
  2. Step 2: Convert to fraction form
    143,690,989.08/314,585,083.97 = 314,585,083.97/x
  3. Step 3: Cross multiply
    143,690,989.08x = 314,585,083.97 × 314,585,083.97
  4. Step 4: Simplify right side
    143,690,989.08x = 98,963,775,055,625,488
  5. Step 5: Solve for x
    x = 98,963,775,055,625,488/143,690,989.08
  6. Step 6: Final answer
    x = 688,726,382.15

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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.