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Finding the Third Proportional to 57,805,673.10 and 134,884,561.50

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Solution

The third proportional to 57,805,673.10 and 134,884,561.50 is: 314,741,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805,673.10 : 134,884,561.50 = 134,884,561.50 : x
  2. Step 2: Convert to fraction form
    57,805,673.10/134,884,561.50 = 134,884,561.50/x
  3. Step 3: Cross multiply
    57,805,673.10x = 134,884,561.50 × 134,884,561.50
  4. Step 4: Simplify right side
    57,805,673.10x = 18,193,844,931,047,284
  5. Step 5: Solve for x
    x = 18,193,844,931,047,284/57,805,673.10
  6. Step 6: Final answer
    x = 314,741,511.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.