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Finding the Third Proportional to 248,947,663.50 and 365,350,191.75

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Solution

The third proportional to 248,947,663.50 and 365,350,191.75 is: 536,180,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,947,663.50 : 365,350,191.75 = 365,350,191.75 : x
  2. Step 2: Convert to fraction form
    248,947,663.50/365,350,191.75 = 365,350,191.75/x
  3. Step 3: Cross multiply
    248,947,663.50x = 365,350,191.75 × 365,350,191.75
  4. Step 4: Simplify right side
    248,947,663.50x = 133,480,762,611,761,776
  5. Step 5: Solve for x
    x = 133,480,762,611,761,776/248,947,663.50
  6. Step 6: Final answer
    x = 536,180,017.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.