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Finding the Third Proportional to 123,616,894.50 and 257,406,940.13

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Solution

The third proportional to 123,616,894.50 and 257,406,940.13 is: 535,997,390.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,616,894.50 : 257,406,940.13 = 257,406,940.13 : x
  2. Step 2: Convert to fraction form
    123,616,894.50/257,406,940.13 = 257,406,940.13/x
  3. Step 3: Cross multiply
    123,616,894.50x = 257,406,940.13 × 257,406,940.13
  4. Step 4: Simplify right side
    123,616,894.50x = 66,258,332,824,515,336
  5. Step 5: Solve for x
    x = 66,258,332,824,515,336/123,616,894.50
  6. Step 6: Final answer
    x = 535,997,390.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.