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Finding the Third Proportional to 169,845,700.50 and 371,484,366.75

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Solution

The third proportional to 169,845,700.50 and 371,484,366.75 is: 812,505,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,845,700.50 : 371,484,366.75 = 371,484,366.75 : x
  2. Step 2: Convert to fraction form
    169,845,700.50/371,484,366.75 = 371,484,366.75/x
  3. Step 3: Cross multiply
    169,845,700.50x = 371,484,366.75 × 371,484,366.75
  4. Step 4: Simplify right side
    169,845,700.50x = 138,000,634,739,648,512
  5. Step 5: Solve for x
    x = 138,000,634,739,648,512/169,845,700.50
  6. Step 6: Final answer
    x = 812,505,905.85

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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.