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Finding the Third Proportional to 121,300,056 and 286,348,284

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Solution

The third proportional to 121,300,056 and 286,348,284 is: 675,971,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,300,056 : 286,348,284 = 286,348,284 : x
  2. Step 2: Convert to fraction form
    121,300,056/286,348,284 = 286,348,284/x
  3. Step 3: Cross multiply
    121,300,056x = 286,348,284 × 286,348,284
  4. Step 4: Simplify right side
    121,300,056x = 81,995,339,749,744,656
  5. Step 5: Solve for x
    x = 81,995,339,749,744,656/121,300,056
  6. Step 6: Final answer
    x = 675,971,161.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.