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Finding the Third Proportional to 102,931,560 and 226,333,440

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Solution

The third proportional to 102,931,560 and 226,333,440 is: 497,678,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,931,560 : 226,333,440 = 226,333,440 : x
  2. Step 2: Convert to fraction form
    102,931,560/226,333,440 = 226,333,440/x
  3. Step 3: Cross multiply
    102,931,560x = 226,333,440 × 226,333,440
  4. Step 4: Simplify right side
    102,931,560x = 51,226,826,062,233,600
  5. Step 5: Solve for x
    x = 51,226,826,062,233,600/102,931,560
  6. Step 6: Final answer
    x = 497,678,516.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.