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Finding the Third Proportional to 105,717,483 and 227,630,020.50

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Solution

The third proportional to 105,717,483 and 227,630,020.50 is: 490,131,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,717,483 : 227,630,020.50 = 227,630,020.50 : x
  2. Step 2: Convert to fraction form
    105,717,483/227,630,020.50 = 227,630,020.50/x
  3. Step 3: Cross multiply
    105,717,483x = 227,630,020.50 × 227,630,020.50
  4. Step 4: Simplify right side
    105,717,483x = 51,815,426,232,830,424
  5. Step 5: Solve for x
    x = 51,815,426,232,830,424/105,717,483
  6. Step 6: Final answer
    x = 490,131,100.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.