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Finding the Third Proportional to 68,282,607 and 102,426,091.50

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Solution

The third proportional to 68,282,607 and 102,426,091.50 is: 153,642,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282,607 : 102,426,091.50 = 102,426,091.50 : x
  2. Step 2: Convert to fraction form
    68,282,607/102,426,091.50 = 102,426,091.50/x
  3. Step 3: Cross multiply
    68,282,607x = 102,426,091.50 × 102,426,091.50
  4. Step 4: Simplify right side
    68,282,607x = 10,491,104,219,966,372
  5. Step 5: Solve for x
    x = 10,491,104,219,966,372/68,282,607
  6. Step 6: Final answer
    x = 153,642,408.82

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Why These Related Problems?

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