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Finding the Third Proportional to 178,100,515.50 and 272,447,292

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Solution

The third proportional to 178,100,515.50 and 272,447,292 is: 416,773,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,100,515.50 : 272,447,292 = 272,447,292 : x
  2. Step 2: Convert to fraction form
    178,100,515.50/272,447,292 = 272,447,292/x
  3. Step 3: Cross multiply
    178,100,515.50x = 272,447,292 × 272,447,292
  4. Step 4: Simplify right side
    178,100,515.50x = 74,227,526,918,133,264
  5. Step 5: Solve for x
    x = 74,227,526,918,133,264/178,100,515.50
  6. Step 6: Final answer
    x = 416,773,228.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.