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Finding the Third Proportional to 105,577,968 and 220,808,972

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Solution

The third proportional to 105,577,968 and 220,808,972 is: 461,806,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,577,968 : 220,808,972 = 220,808,972 : x
  2. Step 2: Convert to fraction form
    105,577,968/220,808,972 = 220,808,972/x
  3. Step 3: Cross multiply
    105,577,968x = 220,808,972 × 220,808,972
  4. Step 4: Simplify right side
    105,577,968x = 48,756,602,115,696,784
  5. Step 5: Solve for x
    x = 48,756,602,115,696,784/105,577,968
  6. Step 6: Final answer
    x = 461,806,596.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.