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Finding the Third Proportional to 230,248,752 and 469,746,576

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Solution

The third proportional to 230,248,752 and 469,746,576 is: 958,362,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,248,752 : 469,746,576 = 469,746,576 : x
  2. Step 2: Convert to fraction form
    230,248,752/469,746,576 = 469,746,576/x
  3. Step 3: Cross multiply
    230,248,752x = 469,746,576 × 469,746,576
  4. Step 4: Simplify right side
    230,248,752x = 220,661,845,663,723,776
  5. Step 5: Solve for x
    x = 220,661,845,663,723,776/230,248,752
  6. Step 6: Final answer
    x = 958,362,830.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.