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Finding the Third Proportional to 66,669,328.13 and 102,603,993.47

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Solution

The third proportional to 66,669,328.13 and 102,603,993.47 is: 157,907,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,669,328.13 : 102,603,993.47 = 102,603,993.47 : x
  2. Step 2: Convert to fraction form
    66,669,328.13/102,603,993.47 = 102,603,993.47/x
  3. Step 3: Cross multiply
    66,669,328.13x = 102,603,993.47 × 102,603,993.47
  4. Step 4: Simplify right side
    66,669,328.13x = 10,527,579,475,735,292
  5. Step 5: Solve for x
    x = 10,527,579,475,735,292/66,669,328.13
  6. Step 6: Final answer
    x = 157,907,388.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.