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Finding the Third Proportional to 97,263,254.25 and 208,427,080.50

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Solution

The third proportional to 97,263,254.25 and 208,427,080.50 is: 446,641,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,263,254.25 : 208,427,080.50 = 208,427,080.50 : x
  2. Step 2: Convert to fraction form
    97,263,254.25/208,427,080.50 = 208,427,080.50/x
  3. Step 3: Cross multiply
    97,263,254.25x = 208,427,080.50 × 208,427,080.50
  4. Step 4: Simplify right side
    97,263,254.25x = 43,441,847,885,753,480
  5. Step 5: Solve for x
    x = 43,441,847,885,753,480/97,263,254.25
  6. Step 6: Final answer
    x = 446,641,932.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.