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Finding the Third Proportional to 124,657,509 and 186,288,568.50

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Solution

The third proportional to 124,657,509 and 186,288,568.50 is: 278,390,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,657,509 : 186,288,568.50 = 186,288,568.50 : x
  2. Step 2: Convert to fraction form
    124,657,509/186,288,568.50 = 186,288,568.50/x
  3. Step 3: Cross multiply
    124,657,509x = 186,288,568.50 × 186,288,568.50
  4. Step 4: Simplify right side
    124,657,509x = 34,703,430,753,779,192
  5. Step 5: Solve for x
    x = 34,703,430,753,779,192/124,657,509
  6. Step 6: Final answer
    x = 278,390,215.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.