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Finding the Third Proportional to 67,692,064 and 103,125,264

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Solution

The third proportional to 67,692,064 and 103,125,264 is: 157,105,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,692,064 : 103,125,264 = 103,125,264 : x
  2. Step 2: Convert to fraction form
    67,692,064/103,125,264 = 103,125,264/x
  3. Step 3: Cross multiply
    67,692,064x = 103,125,264 × 103,125,264
  4. Step 4: Simplify right side
    67,692,064x = 10,634,820,075,069,696
  5. Step 5: Solve for x
    x = 10,634,820,075,069,696/67,692,064
  6. Step 6: Final answer
    x = 157,105,862.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.