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Finding the Third Proportional to 200,502,064.13 and 319,038,193.13

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Solution

The third proportional to 200,502,064.13 and 319,038,193.13 is: 507,652,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,064.13 : 319,038,193.13 = 319,038,193.13 : x
  2. Step 2: Convert to fraction form
    200,502,064.13/319,038,193.13 = 319,038,193.13/x
  3. Step 3: Cross multiply
    200,502,064.13x = 319,038,193.13 × 319,038,193.13
  4. Step 4: Simplify right side
    200,502,064.13x = 101,785,368,672,464,800
  5. Step 5: Solve for x
    x = 101,785,368,672,464,800/200,502,064.13
  6. Step 6: Final answer
    x = 507,652,472.89

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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.