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Finding the Third Proportional to 144,224,157 and 293,545,284

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Solution

The third proportional to 144,224,157 and 293,545,284 is: 597,464,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,224,157 : 293,545,284 = 293,545,284 : x
  2. Step 2: Convert to fraction form
    144,224,157/293,545,284 = 293,545,284/x
  3. Step 3: Cross multiply
    144,224,157x = 293,545,284 × 293,545,284
  4. Step 4: Simplify right side
    144,224,157x = 86,168,833,758,640,656
  5. Step 5: Solve for x
    x = 86,168,833,758,640,656/144,224,157
  6. Step 6: Final answer
    x = 597,464,638.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.