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Finding the Third Proportional to 153,708,761 and 334,709,170

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Solution

The third proportional to 153,708,761 and 334,709,170 is: 728,847,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,708,761 : 334,709,170 = 334,709,170 : x
  2. Step 2: Convert to fraction form
    153,708,761/334,709,170 = 334,709,170/x
  3. Step 3: Cross multiply
    153,708,761x = 334,709,170 × 334,709,170
  4. Step 4: Simplify right side
    153,708,761x = 112,030,228,482,088,896
  5. Step 5: Solve for x
    x = 112,030,228,482,088,896/153,708,761
  6. Step 6: Final answer
    x = 728,847,384.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.