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Finding the Third Proportional to 234,082,395 and 514,500,030

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Solution

The third proportional to 234,082,395 and 514,500,030 is: 1,130,842,329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,082,395 : 514,500,030 = 514,500,030 : x
  2. Step 2: Convert to fraction form
    234,082,395/514,500,030 = 514,500,030/x
  3. Step 3: Cross multiply
    234,082,395x = 514,500,030 × 514,500,030
  4. Step 4: Simplify right side
    234,082,395x = 264,710,280,870,000,896
  5. Step 5: Solve for x
    x = 264,710,280,870,000,896/234,082,395
  6. Step 6: Final answer
    x = 1,130,842,329.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.