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Finding the Third Proportional to 145,892,215.13 and 225,655,804.13

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Solution

The third proportional to 145,892,215.13 and 225,655,804.13 is: 349,028,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,892,215.13 : 225,655,804.13 = 225,655,804.13 : x
  2. Step 2: Convert to fraction form
    145,892,215.13/225,655,804.13 = 225,655,804.13/x
  3. Step 3: Cross multiply
    145,892,215.13x = 225,655,804.13 × 225,655,804.13
  4. Step 4: Simplify right side
    145,892,215.13x = 50,920,541,935,300,368
  5. Step 5: Solve for x
    x = 50,920,541,935,300,368/145,892,215.13
  6. Step 6: Final answer
    x = 349,028,506.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.