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Finding the Third Proportional to 85,541,905.88 and 175,618,648.13

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Solution

The third proportional to 85,541,905.88 and 175,618,648.13 is: 360,547,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,541,905.88 : 175,618,648.13 = 175,618,648.13 : x
  2. Step 2: Convert to fraction form
    85,541,905.88/175,618,648.13 = 175,618,648.13/x
  3. Step 3: Cross multiply
    85,541,905.88x = 175,618,648.13 × 175,618,648.13
  4. Step 4: Simplify right side
    85,541,905.88x = 30,841,909,569,252,568
  5. Step 5: Solve for x
    x = 30,841,909,569,252,568/85,541,905.88
  6. Step 6: Final answer
    x = 360,547,374.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.