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Finding the Third Proportional to 47,759,498.02 and 102,330,164.53

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Solution

The third proportional to 47,759,498.02 and 102,330,164.53 is: 219,254,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,498.02 : 102,330,164.53 = 102,330,164.53 : x
  2. Step 2: Convert to fraction form
    47,759,498.02/102,330,164.53 = 102,330,164.53/x
  3. Step 3: Cross multiply
    47,759,498.02x = 102,330,164.53 × 102,330,164.53
  4. Step 4: Simplify right side
    47,759,498.02x = 10,471,462,572,992,696
  5. Step 5: Solve for x
    x = 10,471,462,572,992,696/47,759,498.02
  6. Step 6: Final answer
    x = 219,254,033.40

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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.