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Finding the Third Proportional to 200,502,219 and 319,038,456

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Solution

The third proportional to 200,502,219 and 319,038,456 is: 507,652,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,219 : 319,038,456 = 319,038,456 : x
  2. Step 2: Convert to fraction form
    200,502,219/319,038,456 = 319,038,456/x
  3. Step 3: Cross multiply
    200,502,219x = 319,038,456 × 319,038,456
  4. Step 4: Simplify right side
    200,502,219x = 101,785,536,406,863,936
  5. Step 5: Solve for x
    x = 101,785,536,406,863,936/200,502,219
  6. Step 6: Final answer
    x = 507,652,917.33

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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.