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Finding the Third Proportional to 234,987,206 and 509,013,388

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Solution

The third proportional to 234,987,206 and 509,013,388 is: 1,102,590,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,987,206 : 509,013,388 = 509,013,388 : x
  2. Step 2: Convert to fraction form
    234,987,206/509,013,388 = 509,013,388/x
  3. Step 3: Cross multiply
    234,987,206x = 509,013,388 × 509,013,388
  4. Step 4: Simplify right side
    234,987,206x = 259,094,629,163,238,528
  5. Step 5: Solve for x
    x = 259,094,629,163,238,528/234,987,206
  6. Step 6: Final answer
    x = 1,102,590,364.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.