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Finding the Third Proportional to 200,502,069 and 319,038,200

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Solution

The third proportional to 200,502,069 and 319,038,200 is: 507,652,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,069 : 319,038,200 = 319,038,200 : x
  2. Step 2: Convert to fraction form
    200,502,069/319,038,200 = 319,038,200/x
  3. Step 3: Cross multiply
    200,502,069x = 319,038,200 × 319,038,200
  4. Step 4: Simplify right side
    200,502,069x = 101,785,373,059,240,000
  5. Step 5: Solve for x
    x = 101,785,373,059,240,000/200,502,069
  6. Step 6: Final answer
    x = 507,652,482.43

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.