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Finding the Third Proportional to 200,502,234 and 319,038,467

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Solution

The third proportional to 200,502,234 and 319,038,467 is: 507,652,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,234 : 319,038,467 = 319,038,467 : x
  2. Step 2: Convert to fraction form
    200,502,234/319,038,467 = 319,038,467/x
  3. Step 3: Cross multiply
    200,502,234x = 319,038,467 × 319,038,467
  4. Step 4: Simplify right side
    200,502,234x = 101,785,543,425,710,096
  5. Step 5: Solve for x
    x = 101,785,543,425,710,096/200,502,234
  6. Step 6: Final answer
    x = 507,652,914.36

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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.