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Finding the Third Proportional to 254,893,641.75 and 393,600,385.69

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Solution

The third proportional to 254,893,641.75 and 393,600,385.69 is: 607,787,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,893,641.75 : 393,600,385.69 = 393,600,385.69 : x
  2. Step 2: Convert to fraction form
    254,893,641.75/393,600,385.69 = 393,600,385.69/x
  3. Step 3: Cross multiply
    254,893,641.75x = 393,600,385.69 × 393,600,385.69
  4. Step 4: Simplify right side
    254,893,641.75x = 154,921,263,613,348,768
  5. Step 5: Solve for x
    x = 154,921,263,613,348,768/254,893,641.75
  6. Step 6: Final answer
    x = 607,787,870.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.