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Finding the Third Proportional to 107,597,130 and 230,153,342

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Solution

The third proportional to 107,597,130 and 230,153,342 is: 492,304,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,597,130 : 230,153,342 = 230,153,342 : x
  2. Step 2: Convert to fraction form
    107,597,130/230,153,342 = 230,153,342/x
  3. Step 3: Cross multiply
    107,597,130x = 230,153,342 × 230,153,342
  4. Step 4: Simplify right side
    107,597,130x = 52,970,560,833,768,960
  5. Step 5: Solve for x
    x = 52,970,560,833,768,960/107,597,130
  6. Step 6: Final answer
    x = 492,304,588.74

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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.