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Finding the Third Proportional to 102,381,643.50 and 144,866,869.50

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Solution

The third proportional to 102,381,643.50 and 144,866,869.50 is: 204,982,154.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381,643.50 : 144,866,869.50 = 144,866,869.50 : x
  2. Step 2: Convert to fraction form
    102,381,643.50/144,866,869.50 = 144,866,869.50/x
  3. Step 3: Cross multiply
    102,381,643.50x = 144,866,869.50 × 144,866,869.50
  4. Step 4: Simplify right side
    102,381,643.50x = 20,986,409,878,730,032
  5. Step 5: Solve for x
    x = 20,986,409,878,730,032/102,381,643.50
  6. Step 6: Final answer
    x = 204,982,154.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.