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Finding the Third Proportional to 255,369,378.38 and 531,119,824.88

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Solution

The third proportional to 255,369,378.38 and 531,119,824.88 is: 1,104,628,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,369,378.38 : 531,119,824.88 = 531,119,824.88 : x
  2. Step 2: Convert to fraction form
    255,369,378.38/531,119,824.88 = 531,119,824.88/x
  3. Step 3: Cross multiply
    255,369,378.38x = 531,119,824.88 × 531,119,824.88
  4. Step 4: Simplify right side
    255,369,378.38x = 282,088,268,375,250,656
  5. Step 5: Solve for x
    x = 282,088,268,375,250,656/255,369,378.38
  6. Step 6: Final answer
    x = 1,104,628,402.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.