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Finding the Third Proportional to 141,153,240 and 305,756,336

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Solution

The third proportional to 141,153,240 and 305,756,336 is: 662,308,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,153,240 : 305,756,336 = 305,756,336 : x
  2. Step 2: Convert to fraction form
    141,153,240/305,756,336 = 305,756,336/x
  3. Step 3: Cross multiply
    141,153,240x = 305,756,336 × 305,756,336
  4. Step 4: Simplify right side
    141,153,240x = 93,486,937,004,144,896
  5. Step 5: Solve for x
    x = 93,486,937,004,144,896/141,153,240
  6. Step 6: Final answer
    x = 662,308,119.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.