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Finding the Third Proportional to 200,502,068 and 319,038,199

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Solution

The third proportional to 200,502,068 and 319,038,199 is: 507,652,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,068 : 319,038,199 = 319,038,199 : x
  2. Step 2: Convert to fraction form
    200,502,068/319,038,199 = 319,038,199/x
  3. Step 3: Cross multiply
    200,502,068x = 319,038,199 × 319,038,199
  4. Step 4: Simplify right side
    200,502,068x = 101,785,372,421,163,600
  5. Step 5: Solve for x
    x = 101,785,372,421,163,600/200,502,068
  6. Step 6: Final answer
    x = 507,652,481.77

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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.