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Finding the Third Proportional to 47,915,266.50 and 104,225,798.25

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Solution

The third proportional to 47,915,266.50 and 104,225,798.25 is: 226,713,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,915,266.50 : 104,225,798.25 = 104,225,798.25 : x
  2. Step 2: Convert to fraction form
    47,915,266.50/104,225,798.25 = 104,225,798.25/x
  3. Step 3: Cross multiply
    47,915,266.50x = 104,225,798.25 × 104,225,798.25
  4. Step 4: Simplify right side
    47,915,266.50x = 10,863,017,020,849,704
  5. Step 5: Solve for x
    x = 10,863,017,020,849,704/47,915,266.50
  6. Step 6: Final answer
    x = 226,713,066.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.