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Finding the Third Proportional to 36,087,651 and 85,160,398.50

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Solution

The third proportional to 36,087,651 and 85,160,398.50 is: 200,963,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,087,651 : 85,160,398.50 = 85,160,398.50 : x
  2. Step 2: Convert to fraction form
    36,087,651/85,160,398.50 = 85,160,398.50/x
  3. Step 3: Cross multiply
    36,087,651x = 85,160,398.50 × 85,160,398.50
  4. Step 4: Simplify right side
    36,087,651x = 7,252,293,472,678,802
  5. Step 5: Solve for x
    x = 7,252,293,472,678,802/36,087,651
  6. Step 6: Final answer
    x = 200,963,301.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.