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Finding the Third Proportional to 200,502,067 and 319,038,197.50

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Solution

The third proportional to 200,502,067 and 319,038,197.50 is: 507,652,479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,067 : 319,038,197.50 = 319,038,197.50 : x
  2. Step 2: Convert to fraction form
    200,502,067/319,038,197.50 = 319,038,197.50/x
  3. Step 3: Cross multiply
    200,502,067x = 319,038,197.50 × 319,038,197.50
  4. Step 4: Simplify right side
    200,502,067x = 101,785,371,464,049,008
  5. Step 5: Solve for x
    x = 101,785,371,464,049,008/200,502,067
  6. Step 6: Final answer
    x = 507,652,479.53

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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.