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Finding the Third Proportional to 65,897,380.13 and 137,249,039.63

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Solution

The third proportional to 65,897,380.13 and 137,249,039.63 is: 285,858,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897,380.13 : 137,249,039.63 = 137,249,039.63 : x
  2. Step 2: Convert to fraction form
    65,897,380.13/137,249,039.63 = 137,249,039.63/x
  3. Step 3: Cross multiply
    65,897,380.13x = 137,249,039.63 × 137,249,039.63
  4. Step 4: Simplify right side
    65,897,380.13x = 18,837,298,877,984,820
  5. Step 5: Solve for x
    x = 18,837,298,877,984,820/65,897,380.13
  6. Step 6: Final answer
    x = 285,858,084.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.