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Finding the Third Proportional to 52,477,414.31 and 114,184,459.69

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Solution

The third proportional to 52,477,414.31 and 114,184,459.69 is: 248,451,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477,414.31 : 114,184,459.69 = 114,184,459.69 : x
  2. Step 2: Convert to fraction form
    52,477,414.31/114,184,459.69 = 114,184,459.69/x
  3. Step 3: Cross multiply
    52,477,414.31x = 114,184,459.69 × 114,184,459.69
  4. Step 4: Simplify right side
    52,477,414.31x = 13,038,090,834,126,312
  5. Step 5: Solve for x
    x = 13,038,090,834,126,312/52,477,414.31
  6. Step 6: Final answer
    x = 248,451,472.03

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.