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Finding the Third Proportional to 153,144,063 and 336,043,962

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Solution

The third proportional to 153,144,063 and 336,043,962 is: 737,381,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,144,063 : 336,043,962 = 336,043,962 : x
  2. Step 2: Convert to fraction form
    153,144,063/336,043,962 = 336,043,962/x
  3. Step 3: Cross multiply
    153,144,063x = 336,043,962 × 336,043,962
  4. Step 4: Simplify right side
    153,144,063x = 112,925,544,396,657,440
  5. Step 5: Solve for x
    x = 112,925,544,396,657,440/153,144,063
  6. Step 6: Final answer
    x = 737,381,144.16

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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.