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Finding the Third Proportional to 238,050,952 and 367,683,864.50

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Solution

The third proportional to 238,050,952 and 367,683,864.50 is: 567,909,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,050,952 : 367,683,864.50 = 367,683,864.50 : x
  2. Step 2: Convert to fraction form
    238,050,952/367,683,864.50 = 367,683,864.50/x
  3. Step 3: Cross multiply
    238,050,952x = 367,683,864.50 × 367,683,864.50
  4. Step 4: Simplify right side
    238,050,952x = 135,191,424,213,654,368
  5. Step 5: Solve for x
    x = 135,191,424,213,654,368/238,050,952
  6. Step 6: Final answer
    x = 567,909,613.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.