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Finding the Third Proportional to 47,759,557.50 and 102,330,283.50

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Solution

The third proportional to 47,759,557.50 and 102,330,283.50 is: 219,254,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,557.50 : 102,330,283.50 = 102,330,283.50 : x
  2. Step 2: Convert to fraction form
    47,759,557.50/102,330,283.50 = 102,330,283.50/x
  3. Step 3: Cross multiply
    47,759,557.50x = 102,330,283.50 × 102,330,283.50
  4. Step 4: Simplify right side
    47,759,557.50x = 10,471,486,921,190,372
  5. Step 5: Solve for x
    x = 10,471,486,921,190,372/47,759,557.50
  6. Step 6: Final answer
    x = 219,254,270.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.