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Finding the Third Proportional to 178,435,773 and 272,783,478

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Solution

The third proportional to 178,435,773 and 272,783,478 is: 417,017,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,435,773 : 272,783,478 = 272,783,478 : x
  2. Step 2: Convert to fraction form
    178,435,773/272,783,478 = 272,783,478/x
  3. Step 3: Cross multiply
    178,435,773x = 272,783,478 × 272,783,478
  4. Step 4: Simplify right side
    178,435,773x = 74,410,825,869,776,480
  5. Step 5: Solve for x
    x = 74,410,825,869,776,480/178,435,773
  6. Step 6: Final answer
    x = 417,017,421.00

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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.