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Finding the Third Proportional to 47,759,483.25 and 102,330,130.50

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Solution

The third proportional to 47,759,483.25 and 102,330,130.50 is: 219,253,955.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,483.25 : 102,330,130.50 = 102,330,130.50 : x
  2. Step 2: Convert to fraction form
    47,759,483.25/102,330,130.50 = 102,330,130.50/x
  3. Step 3: Cross multiply
    47,759,483.25x = 102,330,130.50 × 102,330,130.50
  4. Step 4: Simplify right side
    47,759,483.25x = 10,471,455,608,147,030
  5. Step 5: Solve for x
    x = 10,471,455,608,147,030/47,759,483.25
  6. Step 6: Final answer
    x = 219,253,955.35

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