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Finding the Third Proportional to 45,866,077.50 and 97,044,661.50

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Solution

The third proportional to 45,866,077.50 and 97,044,661.50 is: 205,329,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,866,077.50 : 97,044,661.50 = 97,044,661.50 : x
  2. Step 2: Convert to fraction form
    45,866,077.50/97,044,661.50 = 97,044,661.50/x
  3. Step 3: Cross multiply
    45,866,077.50x = 97,044,661.50 × 97,044,661.50
  4. Step 4: Simplify right side
    45,866,077.50x = 9,417,666,325,649,582
  5. Step 5: Solve for x
    x = 9,417,666,325,649,582/45,866,077.50
  6. Step 6: Final answer
    x = 205,329,664.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.