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Finding the Third Proportional to 178,652,587.50 and 273,234,404.25

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Solution

The third proportional to 178,652,587.50 and 273,234,404.25 is: 417,889,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,652,587.50 : 273,234,404.25 = 273,234,404.25 : x
  2. Step 2: Convert to fraction form
    178,652,587.50/273,234,404.25 = 273,234,404.25/x
  3. Step 3: Cross multiply
    178,652,587.50x = 273,234,404.25 × 273,234,404.25
  4. Step 4: Simplify right side
    178,652,587.50x = 74,657,039,665,852,416
  5. Step 5: Solve for x
    x = 74,657,039,665,852,416/178,652,587.50
  6. Step 6: Final answer
    x = 417,889,495.53

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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.