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Finding the Third Proportional to 258,235,574.34 and 553,311,844.59

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Solution

The third proportional to 258,235,574.34 and 553,311,844.59 is: 1,185,560,890.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,235,574.34 : 553,311,844.59 = 553,311,844.59 : x
  2. Step 2: Convert to fraction form
    258,235,574.34/553,311,844.59 = 553,311,844.59/x
  3. Step 3: Cross multiply
    258,235,574.34x = 553,311,844.59 × 553,311,844.59
  4. Step 4: Simplify right side
    258,235,574.34x = 306,153,997,367,738,176
  5. Step 5: Solve for x
    x = 306,153,997,367,738,176/258,235,574.34
  6. Step 6: Final answer
    x = 1,185,560,890.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.