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Finding the Third Proportional to 100,676,420 and 155,323,946

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Solution

The third proportional to 100,676,420 and 155,323,946 is: 239,634,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,676,420 : 155,323,946 = 155,323,946 : x
  2. Step 2: Convert to fraction form
    100,676,420/155,323,946 = 155,323,946/x
  3. Step 3: Cross multiply
    100,676,420x = 155,323,946 × 155,323,946
  4. Step 4: Simplify right side
    100,676,420x = 24,125,528,201,010,916
  5. Step 5: Solve for x
    x = 24,125,528,201,010,916/100,676,420
  6. Step 6: Final answer
    x = 239,634,347.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.