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Finding the Third Proportional to 235,338,468 and 513,051,098

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Solution

The third proportional to 235,338,468 and 513,051,098 is: 1,118,480,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,338,468 : 513,051,098 = 513,051,098 : x
  2. Step 2: Convert to fraction form
    235,338,468/513,051,098 = 513,051,098/x
  3. Step 3: Cross multiply
    235,338,468x = 513,051,098 × 513,051,098
  4. Step 4: Simplify right side
    235,338,468x = 263,221,429,159,005,600
  5. Step 5: Solve for x
    x = 263,221,429,159,005,600/235,338,468
  6. Step 6: Final answer
    x = 1,118,480,252.70

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