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Finding the Third Proportional to 130,204,368 and 177,316,128

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Solution

The third proportional to 130,204,368 and 177,316,128 is: 241,474,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,204,368 : 177,316,128 = 177,316,128 : x
  2. Step 2: Convert to fraction form
    130,204,368/177,316,128 = 177,316,128/x
  3. Step 3: Cross multiply
    130,204,368x = 177,316,128 × 177,316,128
  4. Step 4: Simplify right side
    130,204,368x = 31,441,009,248,912,384
  5. Step 5: Solve for x
    x = 31,441,009,248,912,384/130,204,368
  6. Step 6: Final answer
    x = 241,474,304.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.