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Finding the Third Proportional to 98,875.69 and 157,205.81

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Solution

The third proportional to 98,875.69 and 157,205.81 is: 249,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,875.69 : 157,205.81 = 157,205.81 : x
  2. Step 2: Convert to fraction form
    98,875.69/157,205.81 = 157,205.81/x
  3. Step 3: Cross multiply
    98,875.69x = 157,205.81 × 157,205.81
  4. Step 4: Simplify right side
    98,875.69x = 24,713,667,483.79
  5. Step 5: Solve for x
    x = 24,713,667,483.79/98,875.69
  6. Step 6: Final answer
    x = 249,946.86

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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.