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Finding the Third Proportional to 75,700,946 and 113,425,035

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Solution

The third proportional to 75,700,946 and 113,425,035 is: 169,948,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,700,946 : 113,425,035 = 113,425,035 : x
  2. Step 2: Convert to fraction form
    75,700,946/113,425,035 = 113,425,035/x
  3. Step 3: Cross multiply
    75,700,946x = 113,425,035 × 113,425,035
  4. Step 4: Simplify right side
    75,700,946x = 12,865,238,564,751,224
  5. Step 5: Solve for x
    x = 12,865,238,564,751,224/75,700,946
  6. Step 6: Final answer
    x = 169,948,187.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.