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Finding the Third Proportional to 98,511.19 and 143,461.13

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Solution

The third proportional to 98,511.19 and 143,461.13 is: 208,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,511.19 : 143,461.13 = 143,461.13 : x
  2. Step 2: Convert to fraction form
    98,511.19/143,461.13 = 143,461.13/x
  3. Step 3: Cross multiply
    98,511.19x = 143,461.13 × 143,461.13
  4. Step 4: Simplify right side
    98,511.19x = 20,581,094,386.27
  5. Step 5: Solve for x
    x = 20,581,094,386.27/98,511.19
  6. Step 6: Final answer
    x = 208,921.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.