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Finding the Third Proportional to 103,545,825 and 224,692,410

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Solution

The third proportional to 103,545,825 and 224,692,410 is: 487,578,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,545,825 : 224,692,410 = 224,692,410 : x
  2. Step 2: Convert to fraction form
    103,545,825/224,692,410 = 224,692,410/x
  3. Step 3: Cross multiply
    103,545,825x = 224,692,410 × 224,692,410
  4. Step 4: Simplify right side
    103,545,825x = 50,486,679,111,608,096
  5. Step 5: Solve for x
    x = 50,486,679,111,608,096/103,545,825
  6. Step 6: Final answer
    x = 487,578,124.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.