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Finding the Third Proportional to 123,616,897 and 257,406,944

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Solution

The third proportional to 123,616,897 and 257,406,944 is: 535,997,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,616,897 : 257,406,944 = 257,406,944 : x
  2. Step 2: Convert to fraction form
    123,616,897/257,406,944 = 257,406,944/x
  3. Step 3: Cross multiply
    123,616,897x = 257,406,944 × 257,406,944
  4. Step 4: Simplify right side
    123,616,897x = 66,258,334,819,419,136
  5. Step 5: Solve for x
    x = 66,258,334,819,419,136/123,616,897
  6. Step 6: Final answer
    x = 535,997,395.40

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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.