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Finding the Third Proportional to 61,543,276 and 97,452,197

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Solution

The third proportional to 61,543,276 and 97,452,197 is: 154,313,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,543,276 : 97,452,197 = 97,452,197 : x
  2. Step 2: Convert to fraction form
    61,543,276/97,452,197 = 97,452,197/x
  3. Step 3: Cross multiply
    61,543,276x = 97,452,197 × 97,452,197
  4. Step 4: Simplify right side
    61,543,276x = 9,496,930,700,126,808
  5. Step 5: Solve for x
    x = 9,496,930,700,126,808/61,543,276
  6. Step 6: Final answer
    x = 154,313,051.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.