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Finding the Third Proportional to 131,754,825 and 286,190,784

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Solution

The third proportional to 131,754,825 and 286,190,784 is: 621,648,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,754,825 : 286,190,784 = 286,190,784 : x
  2. Step 2: Convert to fraction form
    131,754,825/286,190,784 = 286,190,784/x
  3. Step 3: Cross multiply
    131,754,825x = 286,190,784 × 286,190,784
  4. Step 4: Simplify right side
    131,754,825x = 81,905,164,846,534,656
  5. Step 5: Solve for x
    x = 81,905,164,846,534,656/131,754,825
  6. Step 6: Final answer
    x = 621,648,314.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.