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Finding the Third Proportional to 45,500,784.75 and 97,378,857

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Solution

The third proportional to 45,500,784.75 and 97,378,857 is: 208,406,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,500,784.75 : 97,378,857 = 97,378,857 : x
  2. Step 2: Convert to fraction form
    45,500,784.75/97,378,857 = 97,378,857/x
  3. Step 3: Cross multiply
    45,500,784.75x = 97,378,857 × 97,378,857
  4. Step 4: Simplify right side
    45,500,784.75x = 9,482,641,790,626,448
  5. Step 5: Solve for x
    x = 9,482,641,790,626,448/45,500,784.75
  6. Step 6: Final answer
    x = 208,406,115.25

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Why These Related Problems?

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