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Finding the Third Proportional to 195,719,877 and 310,936,999.50

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Solution

The third proportional to 195,719,877 and 310,936,999.50 is: 493,980,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,719,877 : 310,936,999.50 = 310,936,999.50 : x
  2. Step 2: Convert to fraction form
    195,719,877/310,936,999.50 = 310,936,999.50/x
  3. Step 3: Cross multiply
    195,719,877x = 310,936,999.50 × 310,936,999.50
  4. Step 4: Simplify right side
    195,719,877x = 96,681,817,658,063,008
  5. Step 5: Solve for x
    x = 96,681,817,658,063,008/195,719,877
  6. Step 6: Final answer
    x = 493,980,576.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.