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Finding the Third Proportional to 102,103,416 and 218,559,060

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Solution

The third proportional to 102,103,416 and 218,559,060 is: 467,840,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103,416 : 218,559,060 = 218,559,060 : x
  2. Step 2: Convert to fraction form
    102,103,416/218,559,060 = 218,559,060/x
  3. Step 3: Cross multiply
    102,103,416x = 218,559,060 × 218,559,060
  4. Step 4: Simplify right side
    102,103,416x = 47,768,062,708,083,600
  5. Step 5: Solve for x
    x = 47,768,062,708,083,600/102,103,416
  6. Step 6: Final answer
    x = 467,840,005.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.