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Finding the Third Proportional to 47,275,098 and 103,518,264

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Solution

The third proportional to 47,275,098 and 103,518,264 is: 226,673,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275,098 : 103,518,264 = 103,518,264 : x
  2. Step 2: Convert to fraction form
    47,275,098/103,518,264 = 103,518,264/x
  3. Step 3: Cross multiply
    47,275,098x = 103,518,264 × 103,518,264
  4. Step 4: Simplify right side
    47,275,098x = 10,716,030,981,573,696
  5. Step 5: Solve for x
    x = 10,716,030,981,573,696/47,275,098
  6. Step 6: Final answer
    x = 226,673,903.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.