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Finding the Third Proportional to 254,768,323.50 and 557,226,091.13

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Solution

The third proportional to 254,768,323.50 and 557,226,091.13 is: 1,218,757,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,768,323.50 : 557,226,091.13 = 557,226,091.13 : x
  2. Step 2: Convert to fraction form
    254,768,323.50/557,226,091.13 = 557,226,091.13/x
  3. Step 3: Cross multiply
    254,768,323.50x = 557,226,091.13 × 557,226,091.13
  4. Step 4: Simplify right side
    254,768,323.50x = 310,500,916,630,446,784
  5. Step 5: Solve for x
    x = 310,500,916,630,446,784/254,768,323.50
  6. Step 6: Final answer
    x = 1,218,757,938.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.