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Finding the Third Proportional to 97,851,906 and 136,875,937.50

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Solution

The third proportional to 97,851,906 and 136,875,937.50 is: 191,463,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,851,906 : 136,875,937.50 = 136,875,937.50 : x
  2. Step 2: Convert to fraction form
    97,851,906/136,875,937.50 = 136,875,937.50/x
  3. Step 3: Cross multiply
    97,851,906x = 136,875,937.50 × 136,875,937.50
  4. Step 4: Simplify right side
    97,851,906x = 18,735,022,266,503,908
  5. Step 5: Solve for x
    x = 18,735,022,266,503,908/97,851,906
  6. Step 6: Final answer
    x = 191,463,028.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.