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Finding the Third Proportional to 84,912,935.25 and 185,197,526.25

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Solution

The third proportional to 84,912,935.25 and 185,197,526.25 is: 403,921,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,935.25 : 185,197,526.25 = 185,197,526.25 : x
  2. Step 2: Convert to fraction form
    84,912,935.25/185,197,526.25 = 185,197,526.25/x
  3. Step 3: Cross multiply
    84,912,935.25x = 185,197,526.25 × 185,197,526.25
  4. Step 4: Simplify right side
    84,912,935.25x = 34,298,123,729,119,440
  5. Step 5: Solve for x
    x = 34,298,123,729,119,440/84,912,935.25
  6. Step 6: Final answer
    x = 403,921,070.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.