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Finding the Third Proportional to 67,692,097 and 103,125,313.50

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Solution

The third proportional to 67,692,097 and 103,125,313.50 is: 157,105,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,692,097 : 103,125,313.50 = 103,125,313.50 : x
  2. Step 2: Convert to fraction form
    67,692,097/103,125,313.50 = 103,125,313.50/x
  3. Step 3: Cross multiply
    67,692,097x = 103,125,313.50 × 103,125,313.50
  4. Step 4: Simplify right side
    67,692,097x = 10,634,830,284,473,282
  5. Step 5: Solve for x
    x = 10,634,830,284,473,282/67,692,097
  6. Step 6: Final answer
    x = 157,105,936.38

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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.