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Finding the Third Proportional to 149,059,970 and 325,754,752

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Solution

The third proportional to 149,059,970 and 325,754,752 is: 711,902,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,059,970 : 325,754,752 = 325,754,752 : x
  2. Step 2: Convert to fraction form
    149,059,970/325,754,752 = 325,754,752/x
  3. Step 3: Cross multiply
    149,059,970x = 325,754,752 × 325,754,752
  4. Step 4: Simplify right side
    149,059,970x = 106,116,158,450,581,504
  5. Step 5: Solve for x
    x = 106,116,158,450,581,504/149,059,970
  6. Step 6: Final answer
    x = 711,902,454.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.