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Finding the Third Proportional to 145,453,968 and 323,194,752

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Solution

The third proportional to 145,453,968 and 323,194,752 is: 718,129,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,453,968 : 323,194,752 = 323,194,752 : x
  2. Step 2: Convert to fraction form
    145,453,968/323,194,752 = 323,194,752/x
  3. Step 3: Cross multiply
    145,453,968x = 323,194,752 × 323,194,752
  4. Step 4: Simplify right side
    145,453,968x = 104,454,847,720,341,504
  5. Step 5: Solve for x
    x = 104,454,847,720,341,504/145,453,968
  6. Step 6: Final answer
    x = 718,129,929.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.