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Finding the Third Proportional to 116,835,490.13 and 185,006,008.13

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Solution

The third proportional to 116,835,490.13 and 185,006,008.13 is: 292,952,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,835,490.13 : 185,006,008.13 = 185,006,008.13 : x
  2. Step 2: Convert to fraction form
    116,835,490.13/185,006,008.13 = 185,006,008.13/x
  3. Step 3: Cross multiply
    116,835,490.13x = 185,006,008.13 × 185,006,008.13
  4. Step 4: Simplify right side
    116,835,490.13x = 34,227,223,042,347,568
  5. Step 5: Solve for x
    x = 34,227,223,042,347,568/116,835,490.13
  6. Step 6: Final answer
    x = 292,952,278.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.