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Finding the Third Proportional to 210,281,913 and 460,205,145

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Solution

The third proportional to 210,281,913 and 460,205,145 is: 1,007,165,915.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,281,913 : 460,205,145 = 460,205,145 : x
  2. Step 2: Convert to fraction form
    210,281,913/460,205,145 = 460,205,145/x
  3. Step 3: Cross multiply
    210,281,913x = 460,205,145 × 460,205,145
  4. Step 4: Simplify right side
    210,281,913x = 211,788,775,484,471,040
  5. Step 5: Solve for x
    x = 211,788,775,484,471,040/210,281,913
  6. Step 6: Final answer
    x = 1,007,165,915.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.