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Finding the Third Proportional to 121,300,036 and 286,348,234

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Solution

The third proportional to 121,300,036 and 286,348,234 is: 675,971,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,300,036 : 286,348,234 = 286,348,234 : x
  2. Step 2: Convert to fraction form
    121,300,036/286,348,234 = 286,348,234/x
  3. Step 3: Cross multiply
    121,300,036x = 286,348,234 × 286,348,234
  4. Step 4: Simplify right side
    121,300,036x = 81,995,311,114,918,752
  5. Step 5: Solve for x
    x = 81,995,311,114,918,752/121,300,036
  6. Step 6: Final answer
    x = 675,971,036.93

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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.