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Finding the Third Proportional to 238,034,310.19 and 367,663,614.47

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Solution

The third proportional to 238,034,310.19 and 367,663,614.47 is: 567,886,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,034,310.19 : 367,663,614.47 = 367,663,614.47 : x
  2. Step 2: Convert to fraction form
    238,034,310.19/367,663,614.47 = 367,663,614.47/x
  3. Step 3: Cross multiply
    238,034,310.19x = 367,663,614.47 × 367,663,614.47
  4. Step 4: Simplify right side
    238,034,310.19x = 135,176,533,404,225,632
  5. Step 5: Solve for x
    x = 135,176,533,404,225,632/238,034,310.19
  6. Step 6: Final answer
    x = 567,886,760.94

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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.