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Finding the Third Proportional to 172,272,328.88 and 264,795,026.06

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Solution

The third proportional to 172,272,328.88 and 264,795,026.06 is: 407,009,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,328.88 : 264,795,026.06 = 264,795,026.06 : x
  2. Step 2: Convert to fraction form
    172,272,328.88/264,795,026.06 = 264,795,026.06/x
  3. Step 3: Cross multiply
    172,272,328.88x = 264,795,026.06 × 264,795,026.06
  4. Step 4: Simplify right side
    172,272,328.88x = 70,116,405,827,440,056
  5. Step 5: Solve for x
    x = 70,116,405,827,440,056/172,272,328.88
  6. Step 6: Final answer
    x = 407,009,101.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.