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Finding the Third Proportional to 130,538,142 and 195,807,213

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Solution

The third proportional to 130,538,142 and 195,807,213 is: 293,710,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,538,142 : 195,807,213 = 195,807,213 : x
  2. Step 2: Convert to fraction form
    130,538,142/195,807,213 = 195,807,213/x
  3. Step 3: Cross multiply
    130,538,142x = 195,807,213 × 195,807,213
  4. Step 4: Simplify right side
    130,538,142x = 38,340,464,662,827,368
  5. Step 5: Solve for x
    x = 38,340,464,662,827,368/130,538,142
  6. Step 6: Final answer
    x = 293,710,819.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.