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Finding the Third Proportional to 66,480,106.69 and 99,353,751.94

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Solution

The third proportional to 66,480,106.69 and 99,353,751.94 is: 148,483,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,480,106.69 : 99,353,751.94 = 99,353,751.94 : x
  2. Step 2: Convert to fraction form
    66,480,106.69/99,353,751.94 = 99,353,751.94/x
  3. Step 3: Cross multiply
    66,480,106.69x = 99,353,751.94 × 99,353,751.94
  4. Step 4: Simplify right side
    66,480,106.69x = 9,871,168,024,058,286
  5. Step 5: Solve for x
    x = 9,871,168,024,058,286/66,480,106.69
  6. Step 6: Final answer
    x = 148,483,035.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.