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Finding the Third Proportional to 102,383,848.13 and 221,130,622.69

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Solution

The third proportional to 102,383,848.13 and 221,130,622.69 is: 477,602,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,383,848.13 : 221,130,622.69 = 221,130,622.69 : x
  2. Step 2: Convert to fraction form
    102,383,848.13/221,130,622.69 = 221,130,622.69/x
  3. Step 3: Cross multiply
    102,383,848.13x = 221,130,622.69 × 221,130,622.69
  4. Step 4: Simplify right side
    102,383,848.13x = 48,898,752,290,161,488
  5. Step 5: Solve for x
    x = 48,898,752,290,161,488/102,383,848.13
  6. Step 6: Final answer
    x = 477,602,211.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.