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Finding the Third Proportional to 173,598,984.25 and 264,468,303.75

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Solution

The third proportional to 173,598,984.25 and 264,468,303.75 is: 402,902,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,598,984.25 : 264,468,303.75 = 264,468,303.75 : x
  2. Step 2: Convert to fraction form
    173,598,984.25/264,468,303.75 = 264,468,303.75/x
  3. Step 3: Cross multiply
    173,598,984.25x = 264,468,303.75 × 264,468,303.75
  4. Step 4: Simplify right side
    173,598,984.25x = 69,943,483,688,402,264
  5. Step 5: Solve for x
    x = 69,943,483,688,402,264/173,598,984.25
  6. Step 6: Final answer
    x = 402,902,609.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.