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Finding the Third Proportional to 97,082,862 and 208,573,300

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Solution

The third proportional to 97,082,862 and 208,573,300 is: 448,099,907.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,082,862 : 208,573,300 = 208,573,300 : x
  2. Step 2: Convert to fraction form
    97,082,862/208,573,300 = 208,573,300/x
  3. Step 3: Cross multiply
    97,082,862x = 208,573,300 × 208,573,300
  4. Step 4: Simplify right side
    97,082,862x = 43,502,821,472,890,000
  5. Step 5: Solve for x
    x = 43,502,821,472,890,000/97,082,862
  6. Step 6: Final answer
    x = 448,099,907.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.