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Finding the Third Proportional to 103,842,129 and 221,583,210

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Solution

The third proportional to 103,842,129 and 221,583,210 is: 472,824,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,842,129 : 221,583,210 = 221,583,210 : x
  2. Step 2: Convert to fraction form
    103,842,129/221,583,210 = 221,583,210/x
  3. Step 3: Cross multiply
    103,842,129x = 221,583,210 × 221,583,210
  4. Step 4: Simplify right side
    103,842,129x = 49,099,118,953,904,096
  5. Step 5: Solve for x
    x = 49,099,118,953,904,096/103,842,129
  6. Step 6: Final answer
    x = 472,824,656.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.