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Finding the Third Proportional to 256,615,383 and 370,764,994.50

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Solution

The third proportional to 256,615,383 and 370,764,994.50 is: 535,691,506.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,615,383 : 370,764,994.50 = 370,764,994.50 : x
  2. Step 2: Convert to fraction form
    256,615,383/370,764,994.50 = 370,764,994.50/x
  3. Step 3: Cross multiply
    256,615,383x = 370,764,994.50 × 370,764,994.50
  4. Step 4: Simplify right side
    256,615,383x = 137,466,681,146,585,024
  5. Step 5: Solve for x
    x = 137,466,681,146,585,024/256,615,383
  6. Step 6: Final answer
    x = 535,691,506.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.