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Finding the Third Proportional to 200,502,071 and 319,038,203

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Solution

The third proportional to 200,502,071 and 319,038,203 is: 507,652,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,071 : 319,038,203 = 319,038,203 : x
  2. Step 2: Convert to fraction form
    200,502,071/319,038,203 = 319,038,203/x
  3. Step 3: Cross multiply
    200,502,071x = 319,038,203 × 319,038,203
  4. Step 4: Simplify right side
    200,502,071x = 101,785,374,973,469,216
  5. Step 5: Solve for x
    x = 101,785,374,973,469,216/200,502,071
  6. Step 6: Final answer
    x = 507,652,486.91

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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.