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Finding the Third Proportional to 254,497,547.25 and 389,142,025.88

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Solution

The third proportional to 254,497,547.25 and 389,142,025.88 is: 595,021,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,497,547.25 : 389,142,025.88 = 389,142,025.88 : x
  2. Step 2: Convert to fraction form
    254,497,547.25/389,142,025.88 = 389,142,025.88/x
  3. Step 3: Cross multiply
    254,497,547.25x = 389,142,025.88 × 389,142,025.88
  4. Step 4: Simplify right side
    254,497,547.25x = 151,431,516,302,099,168
  5. Step 5: Solve for x
    x = 151,431,516,302,099,168/254,497,547.25
  6. Step 6: Final answer
    x = 595,021,515.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.