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Finding the Third Proportional to 161,717,833.50 and 264,042,691.50

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Solution

The third proportional to 161,717,833.50 and 264,042,691.50 is: 431,112,273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,717,833.50 : 264,042,691.50 = 264,042,691.50 : x
  2. Step 2: Convert to fraction form
    161,717,833.50/264,042,691.50 = 264,042,691.50/x
  3. Step 3: Cross multiply
    161,717,833.50x = 264,042,691.50 × 264,042,691.50
  4. Step 4: Simplify right side
    161,717,833.50x = 69,718,542,934,564,176
  5. Step 5: Solve for x
    x = 69,718,542,934,564,176/161,717,833.50
  6. Step 6: Final answer
    x = 431,112,273.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.