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Finding the Third Proportional to 319,046,205.38 and 692,543,243.25

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Solution

The third proportional to 319,046,205.38 and 692,543,243.25 is: 1,503,281,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,046,205.38 : 692,543,243.25 = 692,543,243.25 : x
  2. Step 2: Convert to fraction form
    319,046,205.38/692,543,243.25 = 692,543,243.25/x
  3. Step 3: Cross multiply
    319,046,205.38x = 692,543,243.25 × 692,543,243.25
  4. Step 4: Simplify right side
    319,046,205.38x = 479,616,143,771,228,672
  5. Step 5: Solve for x
    x = 479,616,143,771,228,672/319,046,205.38
  6. Step 6: Final answer
    x = 1,503,281,141.39

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Why These Related Problems?

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