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Finding the Third Proportional to 40,549,139.16 and 83,972,543.06

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Solution

The third proportional to 40,549,139.16 and 83,972,543.06 is: 173,897,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,549,139.16 : 83,972,543.06 = 83,972,543.06 : x
  2. Step 2: Convert to fraction form
    40,549,139.16/83,972,543.06 = 83,972,543.06/x
  3. Step 3: Cross multiply
    40,549,139.16x = 83,972,543.06 × 83,972,543.06
  4. Step 4: Simplify right side
    40,549,139.16x = 7,051,387,988,383,417
  5. Step 5: Solve for x
    x = 7,051,387,988,383,417/40,549,139.16
  6. Step 6: Final answer
    x = 173,897,353.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.