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Finding the Third Proportional to 61,180,394.77 and 97,035,906.66

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Solution

The third proportional to 61,180,394.77 and 97,035,906.66 is: 153,904,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,180,394.77 : 97,035,906.66 = 97,035,906.66 : x
  2. Step 2: Convert to fraction form
    61,180,394.77/97,035,906.66 = 97,035,906.66/x
  3. Step 3: Cross multiply
    61,180,394.77x = 97,035,906.66 × 97,035,906.66
  4. Step 4: Simplify right side
    61,180,394.77x = 9,415,967,180,600,076
  5. Step 5: Solve for x
    x = 9,415,967,180,600,076/61,180,394.77
  6. Step 6: Final answer
    x = 153,904,975.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.