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Finding the Third Proportional to 161,931,780 and 352,615,314

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Solution

The third proportional to 161,931,780 and 352,615,314 is: 767,839,146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,931,780 : 352,615,314 = 352,615,314 : x
  2. Step 2: Convert to fraction form
    161,931,780/352,615,314 = 352,615,314/x
  3. Step 3: Cross multiply
    161,931,780x = 352,615,314 × 352,615,314
  4. Step 4: Simplify right side
    161,931,780x = 124,337,559,667,318,592
  5. Step 5: Solve for x
    x = 124,337,559,667,318,592/161,931,780
  6. Step 6: Final answer
    x = 767,839,146.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.