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Finding the Third Proportional to 121,146,703 and 264,495,830

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Solution

The third proportional to 121,146,703 and 264,495,830 is: 577,465,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,146,703 : 264,495,830 = 264,495,830 : x
  2. Step 2: Convert to fraction form
    121,146,703/264,495,830 = 264,495,830/x
  3. Step 3: Cross multiply
    121,146,703x = 264,495,830 × 264,495,830
  4. Step 4: Simplify right side
    121,146,703x = 69,958,044,087,388,896
  5. Step 5: Solve for x
    x = 69,958,044,087,388,896/121,146,703
  6. Step 6: Final answer
    x = 577,465,522.01

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Why These Related Problems?

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