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Finding the Third Proportional to 105,484,808 and 219,054,224

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Solution

The third proportional to 105,484,808 and 219,054,224 is: 454,897,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,484,808 : 219,054,224 = 219,054,224 : x
  2. Step 2: Convert to fraction form
    105,484,808/219,054,224 = 219,054,224/x
  3. Step 3: Cross multiply
    105,484,808x = 219,054,224 × 219,054,224
  4. Step 4: Simplify right side
    105,484,808x = 47,984,753,052,242,176
  5. Step 5: Solve for x
    x = 47,984,753,052,242,176/105,484,808
  6. Step 6: Final answer
    x = 454,897,287.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.