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Finding the Third Proportional to 64,156,065 and 149,702,658.50

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Solution

The third proportional to 64,156,065 and 149,702,658.50 is: 349,318,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,156,065 : 149,702,658.50 = 149,702,658.50 : x
  2. Step 2: Convert to fraction form
    64,156,065/149,702,658.50 = 149,702,658.50/x
  3. Step 3: Cross multiply
    64,156,065x = 149,702,658.50 × 149,702,658.50
  4. Step 4: Simplify right side
    64,156,065x = 22,410,885,961,967,624
  5. Step 5: Solve for x
    x = 22,410,885,961,967,624/64,156,065
  6. Step 6: Final answer
    x = 349,318,275.08

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.