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Finding the Third Proportional to 103,663,460 and 226,852,460

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Solution

The third proportional to 103,663,460 and 226,852,460 is: 496,433,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,460 : 226,852,460 = 226,852,460 : x
  2. Step 2: Convert to fraction form
    103,663,460/226,852,460 = 226,852,460/x
  3. Step 3: Cross multiply
    103,663,460x = 226,852,460 × 226,852,460
  4. Step 4: Simplify right side
    103,663,460x = 51,462,038,608,051,600
  5. Step 5: Solve for x
    x = 51,462,038,608,051,600/103,663,460
  6. Step 6: Final answer
    x = 496,433,734.78

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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.