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Finding the Third Proportional to 97,253.16 and 147,878.79

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Solution

The third proportional to 97,253.16 and 147,878.79 is: 224,857.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,253.16 : 147,878.79 = 147,878.79 : x
  2. Step 2: Convert to fraction form
    97,253.16/147,878.79 = 147,878.79/x
  3. Step 3: Cross multiply
    97,253.16x = 147,878.79 × 147,878.79
  4. Step 4: Simplify right side
    97,253.16x = 21,868,136,254.59
  5. Step 5: Solve for x
    x = 21,868,136,254.59/97,253.16
  6. Step 6: Final answer
    x = 224,857.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.