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Finding the Third Proportional to 49,276,741.50 and 114,072,468.75

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Solution

The third proportional to 49,276,741.50 and 114,072,468.75 is: 264,070,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,276,741.50 : 114,072,468.75 = 114,072,468.75 : x
  2. Step 2: Convert to fraction form
    49,276,741.50/114,072,468.75 = 114,072,468.75/x
  3. Step 3: Cross multiply
    49,276,741.50x = 114,072,468.75 × 114,072,468.75
  4. Step 4: Simplify right side
    49,276,741.50x = 13,012,528,126,719,726
  5. Step 5: Solve for x
    x = 13,012,528,126,719,726/49,276,741.50
  6. Step 6: Final answer
    x = 264,070,385.55

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.