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Finding the Third Proportional to 178,098,608.50 and 272,444,461.50

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Solution

The third proportional to 178,098,608.50 and 272,444,461.50 is: 416,769,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,098,608.50 : 272,444,461.50 = 272,444,461.50 : x
  2. Step 2: Convert to fraction form
    178,098,608.50/272,444,461.50 = 272,444,461.50/x
  3. Step 3: Cross multiply
    178,098,608.50x = 272,444,461.50 × 272,444,461.50
  4. Step 4: Simplify right side
    178,098,608.50x = 74,225,984,602,024,976
  5. Step 5: Solve for x
    x = 74,225,984,602,024,976/178,098,608.50
  6. Step 6: Final answer
    x = 416,769,031.65

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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.