Home / 83,638,298.50-174,149,962.11

Finding the Third Proportional to 83,638,298.50 and 174,149,962.11

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Solution

The third proportional to 83,638,298.50 and 174,149,962.11 is: 362,611,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,638,298.50 : 174,149,962.11 = 174,149,962.11 : x
  2. Step 2: Convert to fraction form
    83,638,298.50/174,149,962.11 = 174,149,962.11/x
  3. Step 3: Cross multiply
    83,638,298.50x = 174,149,962.11 × 174,149,962.11
  4. Step 4: Simplify right side
    83,638,298.50x = 30,328,209,303,039,824
  5. Step 5: Solve for x
    x = 30,328,209,303,039,824/83,638,298.50
  6. Step 6: Final answer
    x = 362,611,505.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.