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Finding the Third Proportional to 165,817,365 and 354,928,126

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Solution

The third proportional to 165,817,365 and 354,928,126 is: 759,715,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,817,365 : 354,928,126 = 354,928,126 : x
  2. Step 2: Convert to fraction form
    165,817,365/354,928,126 = 354,928,126/x
  3. Step 3: Cross multiply
    165,817,365x = 354,928,126 × 354,928,126
  4. Step 4: Simplify right side
    165,817,365x = 125,973,974,625,871,872
  5. Step 5: Solve for x
    x = 125,973,974,625,871,872/165,817,365
  6. Step 6: Final answer
    x = 759,715,212.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.