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Finding the Third Proportional to 102,853,724 and 219,656,543

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Solution

The third proportional to 102,853,724 and 219,656,543 is: 469,103,062.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,853,724 : 219,656,543 = 219,656,543 : x
  2. Step 2: Convert to fraction form
    102,853,724/219,656,543 = 219,656,543/x
  3. Step 3: Cross multiply
    102,853,724x = 219,656,543 × 219,656,543
  4. Step 4: Simplify right side
    102,853,724x = 48,248,996,882,710,848
  5. Step 5: Solve for x
    x = 48,248,996,882,710,848/102,853,724
  6. Step 6: Final answer
    x = 469,103,062.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.