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Finding the Third Proportional to 178,434,727.50 and 272,780,724

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Solution

The third proportional to 178,434,727.50 and 272,780,724 is: 417,011,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434,727.50 : 272,780,724 = 272,780,724 : x
  2. Step 2: Convert to fraction form
    178,434,727.50/272,780,724 = 272,780,724/x
  3. Step 3: Cross multiply
    178,434,727.50x = 272,780,724 × 272,780,724
  4. Step 4: Simplify right side
    178,434,727.50x = 74,409,323,385,964,176
  5. Step 5: Solve for x
    x = 74,409,323,385,964,176/178,434,727.50
  6. Step 6: Final answer
    x = 417,011,444.06

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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.