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Finding the Third Proportional to 134,964,388,705 and 290,240,452,429

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Solution

The third proportional to 134,964,388,705 and 290,240,452,429 is: 624,161,091,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,964,388,705 : 290,240,452,429 = 290,240,452,429 : x
  2. Step 2: Convert to fraction form
    134,964,388,705/290,240,452,429 = 290,240,452,429/x
  3. Step 3: Cross multiply
    134,964,388,705x = 290,240,452,429 × 290,240,452,429
  4. Step 4: Simplify right side
    134,964,388,705x = 84,239,520,226,190,609,612,800
  5. Step 5: Solve for x
    x = 84,239,520,226,190,609,612,800/134,964,388,705
  6. Step 6: Final answer
    x = 624,161,091,933.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.