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Finding the Third Proportional to 97,671,457.50 and 212,325,697.50

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Solution

The third proportional to 97,671,457.50 and 212,325,697.50 is: 461,569,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,671,457.50 : 212,325,697.50 = 212,325,697.50 : x
  2. Step 2: Convert to fraction form
    97,671,457.50/212,325,697.50 = 212,325,697.50/x
  3. Step 3: Cross multiply
    97,671,457.50x = 212,325,697.50 × 212,325,697.50
  4. Step 4: Simplify right side
    97,671,457.50x = 45,082,201,818,861,504
  5. Step 5: Solve for x
    x = 45,082,201,818,861,504/97,671,457.50
  6. Step 6: Final answer
    x = 461,569,868.75

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