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Finding the Third Proportional to 184,070,047.50 and 278,013,885

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Solution

The third proportional to 184,070,047.50 and 278,013,885 is: 419,903,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,070,047.50 : 278,013,885 = 278,013,885 : x
  2. Step 2: Convert to fraction form
    184,070,047.50/278,013,885 = 278,013,885/x
  3. Step 3: Cross multiply
    184,070,047.50x = 278,013,885 × 278,013,885
  4. Step 4: Simplify right side
    184,070,047.50x = 77,291,720,252,793,232
  5. Step 5: Solve for x
    x = 77,291,720,252,793,232/184,070,047.50
  6. Step 6: Final answer
    x = 419,903,842.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.