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Finding the Third Proportional to 70,523,746 and 106,852,203

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Solution

The third proportional to 70,523,746 and 106,852,203 is: 161,894,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,523,746 : 106,852,203 = 106,852,203 : x
  2. Step 2: Convert to fraction form
    70,523,746/106,852,203 = 106,852,203/x
  3. Step 3: Cross multiply
    70,523,746x = 106,852,203 × 106,852,203
  4. Step 4: Simplify right side
    70,523,746x = 11,417,393,285,953,208
  5. Step 5: Solve for x
    x = 11,417,393,285,953,208/70,523,746
  6. Step 6: Final answer
    x = 161,894,311.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.