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Finding the Third Proportional to 134,775,116 and 197,108,262

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Solution

The third proportional to 134,775,116 and 197,108,262 is: 288,270,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,775,116 : 197,108,262 = 197,108,262 : x
  2. Step 2: Convert to fraction form
    134,775,116/197,108,262 = 197,108,262/x
  3. Step 3: Cross multiply
    134,775,116x = 197,108,262 × 197,108,262
  4. Step 4: Simplify right side
    134,775,116x = 38,851,666,948,660,640
  5. Step 5: Solve for x
    x = 38,851,666,948,660,640/134,775,116
  6. Step 6: Final answer
    x = 288,270,328.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.