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Finding the Third Proportional to 135,990,945,528 and 291,085,386,873

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Solution

The third proportional to 135,990,945,528 and 291,085,386,873 is: 623,061,352,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,990,945,528 : 291,085,386,873 = 291,085,386,873 : x
  2. Step 2: Convert to fraction form
    135,990,945,528/291,085,386,873 = 291,085,386,873/x
  3. Step 3: Cross multiply
    135,990,945,528x = 291,085,386,873 × 291,085,386,873
  4. Step 4: Simplify right side
    135,990,945,528x = 84,730,702,451,004,080,652,288
  5. Step 5: Solve for x
    x = 84,730,702,451,004,080,652,288/135,990,945,528
  6. Step 6: Final answer
    x = 623,061,352,518.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.