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Finding the Third Proportional to 103,663,440 and 226,852,420

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Solution

The third proportional to 103,663,440 and 226,852,420 is: 496,433,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,440 : 226,852,420 = 226,852,420 : x
  2. Step 2: Convert to fraction form
    103,663,440/226,852,420 = 226,852,420/x
  3. Step 3: Cross multiply
    103,663,440x = 226,852,420 × 226,852,420
  4. Step 4: Simplify right side
    103,663,440x = 51,462,020,459,856,400
  5. Step 5: Solve for x
    x = 51,462,020,459,856,400/103,663,440
  6. Step 6: Final answer
    x = 496,433,655.49

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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.