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Finding the Third Proportional to 97,671,453.75 and 212,325,691.50

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Solution

The third proportional to 97,671,453.75 and 212,325,691.50 is: 461,569,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,671,453.75 : 212,325,691.50 = 212,325,691.50 : x
  2. Step 2: Convert to fraction form
    97,671,453.75/212,325,691.50 = 212,325,691.50/x
  3. Step 3: Cross multiply
    97,671,453.75x = 212,325,691.50 × 212,325,691.50
  4. Step 4: Simplify right side
    97,671,453.75x = 45,082,199,270,953,176
  5. Step 5: Solve for x
    x = 45,082,199,270,953,176/97,671,453.75
  6. Step 6: Final answer
    x = 461,569,860.38

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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.