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Finding the Third Proportional to 68,110,020 and 102,065,148

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Solution

The third proportional to 68,110,020 and 102,065,148 is: 152,948,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110,020 : 102,065,148 = 102,065,148 : x
  2. Step 2: Convert to fraction form
    68,110,020/102,065,148 = 102,065,148/x
  3. Step 3: Cross multiply
    68,110,020x = 102,065,148 × 102,065,148
  4. Step 4: Simplify right side
    68,110,020x = 10,417,294,436,261,904
  5. Step 5: Solve for x
    x = 10,417,294,436,261,904/68,110,020
  6. Step 6: Final answer
    x = 152,948,045.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.