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Finding the Third Proportional to 200,655,069 and 310,113,693

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Solution

The third proportional to 200,655,069 and 310,113,693 is: 479,282,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,655,069 : 310,113,693 = 310,113,693 : x
  2. Step 2: Convert to fraction form
    200,655,069/310,113,693 = 310,113,693/x
  3. Step 3: Cross multiply
    200,655,069x = 310,113,693 × 310,113,693
  4. Step 4: Simplify right side
    200,655,069x = 96,170,502,586,098,256
  5. Step 5: Solve for x
    x = 96,170,502,586,098,256/200,655,069
  6. Step 6: Final answer
    x = 479,282,696.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.