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Finding the Third Proportional to 143,690,965.03 and 314,585,049.38

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Solution

The third proportional to 143,690,965.03 and 314,585,049.38 is: 688,726,345.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,690,965.03 : 314,585,049.38 = 314,585,049.38 : x
  2. Step 2: Convert to fraction form
    143,690,965.03/314,585,049.38 = 314,585,049.38/x
  3. Step 3: Cross multiply
    143,690,965.03x = 314,585,049.38 × 314,585,049.38
  4. Step 4: Simplify right side
    143,690,965.03x = 98,963,753,290,271,184
  5. Step 5: Solve for x
    x = 98,963,753,290,271,184/143,690,965.03
  6. Step 6: Final answer
    x = 688,726,345.94

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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.