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Finding the Third Proportional to 68,065,582 and 102,908,792

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Solution

The third proportional to 68,065,582 and 102,908,792 is: 155,588,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,065,582 : 102,908,792 = 102,908,792 : x
  2. Step 2: Convert to fraction form
    68,065,582/102,908,792 = 102,908,792/x
  3. Step 3: Cross multiply
    68,065,582x = 102,908,792 × 102,908,792
  4. Step 4: Simplify right side
    68,065,582x = 10,590,219,470,899,264
  5. Step 5: Solve for x
    x = 10,590,219,470,899,264/68,065,582
  6. Step 6: Final answer
    x = 155,588,465.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.