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Finding the Third Proportional to 223,725,897 and 527,384,142

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Solution

The third proportional to 223,725,897 and 527,384,142 is: 1,243,191,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,725,897 : 527,384,142 = 527,384,142 : x
  2. Step 2: Convert to fraction form
    223,725,897/527,384,142 = 527,384,142/x
  3. Step 3: Cross multiply
    223,725,897x = 527,384,142 × 527,384,142
  4. Step 4: Simplify right side
    223,725,897x = 278,134,033,233,076,160
  5. Step 5: Solve for x
    x = 278,134,033,233,076,160/223,725,897
  6. Step 6: Final answer
    x = 1,243,191,051.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.