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Finding the Third Proportional to 100,586,234 and 153,766,353

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Solution

The third proportional to 100,586,234 and 153,766,353 is: 235,062,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586,234 : 153,766,353 = 153,766,353 : x
  2. Step 2: Convert to fraction form
    100,586,234/153,766,353 = 153,766,353/x
  3. Step 3: Cross multiply
    100,586,234x = 153,766,353 × 153,766,353
  4. Step 4: Simplify right side
    100,586,234x = 23,644,091,314,920,608
  5. Step 5: Solve for x
    x = 23,644,091,314,920,608/100,586,234
  6. Step 6: Final answer
    x = 235,062,894.54

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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.