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Finding the Third Proportional to 103,663,430 and 226,852,397

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Solution

The third proportional to 103,663,430 and 226,852,397 is: 496,433,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,430 : 226,852,397 = 226,852,397 : x
  2. Step 2: Convert to fraction form
    103,663,430/226,852,397 = 226,852,397/x
  3. Step 3: Cross multiply
    103,663,430x = 226,852,397 × 226,852,397
  4. Step 4: Simplify right side
    103,663,430x = 51,462,010,024,645,608
  5. Step 5: Solve for x
    x = 51,462,010,024,645,608/103,663,430
  6. Step 6: Final answer
    x = 496,433,602.71

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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.