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Finding the Third Proportional to 45,957,213 and 99,177,068.25

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Solution

The third proportional to 45,957,213 and 99,177,068.25 is: 214,027,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,957,213 : 99,177,068.25 = 99,177,068.25 : x
  2. Step 2: Convert to fraction form
    45,957,213/99,177,068.25 = 99,177,068.25/x
  3. Step 3: Cross multiply
    45,957,213x = 99,177,068.25 × 99,177,068.25
  4. Step 4: Simplify right side
    45,957,213x = 9,836,090,866,665,158
  5. Step 5: Solve for x
    x = 9,836,090,866,665,158/45,957,213
  6. Step 6: Final answer
    x = 214,027,140.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.