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Finding the Third Proportional to 66,980,373.35 and 144,223,893.45

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Solution

The third proportional to 66,980,373.35 and 144,223,893.45 is: 310,546,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,980,373.35 : 144,223,893.45 = 144,223,893.45 : x
  2. Step 2: Convert to fraction form
    66,980,373.35/144,223,893.45 = 144,223,893.45/x
  3. Step 3: Cross multiply
    66,980,373.35x = 144,223,893.45 × 144,223,893.45
  4. Step 4: Simplify right side
    66,980,373.35x = 20,800,531,440,524,132
  5. Step 5: Solve for x
    x = 20,800,531,440,524,132/66,980,373.35
  6. Step 6: Final answer
    x = 310,546,663.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.