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Finding the Third Proportional to 200,502,084 and 319,038,227

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Solution

The third proportional to 200,502,084 and 319,038,227 is: 507,652,530.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,084 : 319,038,227 = 319,038,227 : x
  2. Step 2: Convert to fraction form
    200,502,084/319,038,227 = 319,038,227/x
  3. Step 3: Cross multiply
    200,502,084x = 319,038,227 × 319,038,227
  4. Step 4: Simplify right side
    200,502,084x = 101,785,390,287,303,536
  5. Step 5: Solve for x
    x = 101,785,390,287,303,536/200,502,084
  6. Step 6: Final answer
    x = 507,652,530.37

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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.