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Finding the Third Proportional to 74,293,461 and 156,107,178

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Solution

The third proportional to 74,293,461 and 156,107,178 is: 328,016,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,293,461 : 156,107,178 = 156,107,178 : x
  2. Step 2: Convert to fraction form
    74,293,461/156,107,178 = 156,107,178/x
  3. Step 3: Cross multiply
    74,293,461x = 156,107,178 × 156,107,178
  4. Step 4: Simplify right side
    74,293,461x = 24,369,451,023,123,684
  5. Step 5: Solve for x
    x = 24,369,451,023,123,684/74,293,461
  6. Step 6: Final answer
    x = 328,016,095.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.