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Finding the Third Proportional to 97,668,641 and 212,325,898

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Solution

The third proportional to 97,668,641 and 212,325,898 is: 461,584,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,668,641 : 212,325,898 = 212,325,898 : x
  2. Step 2: Convert to fraction form
    97,668,641/212,325,898 = 212,325,898/x
  3. Step 3: Cross multiply
    97,668,641x = 212,325,898 × 212,325,898
  4. Step 4: Simplify right side
    97,668,641x = 45,082,286,961,506,400
  5. Step 5: Solve for x
    x = 45,082,286,961,506,400/97,668,641
  6. Step 6: Final answer
    x = 461,584,050.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.