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Finding the Third Proportional to 229,697,781 and 353,061,985.50

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Solution

The third proportional to 229,697,781 and 353,061,985.50 is: 542,681,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,697,781 : 353,061,985.50 = 353,061,985.50 : x
  2. Step 2: Convert to fraction form
    229,697,781/353,061,985.50 = 353,061,985.50/x
  3. Step 3: Cross multiply
    229,697,781x = 353,061,985.50 × 353,061,985.50
  4. Step 4: Simplify right side
    229,697,781x = 124,652,765,605,202,208
  5. Step 5: Solve for x
    x = 124,652,765,605,202,208/229,697,781
  6. Step 6: Final answer
    x = 542,681,627.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.