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Finding the Third Proportional to 153,295,515,080 and 335,489,551,624

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Solution

The third proportional to 153,295,515,080 and 335,489,551,624 is: 734,223,954,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,295,515,080 : 335,489,551,624 = 335,489,551,624 : x
  2. Step 2: Convert to fraction form
    153,295,515,080/335,489,551,624 = 335,489,551,624/x
  3. Step 3: Cross multiply
    153,295,515,080x = 335,489,551,624 × 335,489,551,624
  4. Step 4: Simplify right side
    153,295,515,080x = 112,553,239,248,872,562,229,248
  5. Step 5: Solve for x
    x = 112,553,239,248,872,562,229,248/153,295,515,080
  6. Step 6: Final answer
    x = 734,223,954,237.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.