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Finding the Third Proportional to 98,472,658.50 and 227,946,678.75

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Solution

The third proportional to 98,472,658.50 and 227,946,678.75 is: 527,655,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,472,658.50 : 227,946,678.75 = 227,946,678.75 : x
  2. Step 2: Convert to fraction form
    98,472,658.50/227,946,678.75 = 227,946,678.75/x
  3. Step 3: Cross multiply
    98,472,658.50x = 227,946,678.75 × 227,946,678.75
  4. Step 4: Simplify right side
    98,472,658.50x = 51,959,688,353,155,704
  5. Step 5: Solve for x
    x = 51,959,688,353,155,704/98,472,658.50
  6. Step 6: Final answer
    x = 527,655,992.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.