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Finding the Third Proportional to 210,433,900 and 461,095,640

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Solution

The third proportional to 210,433,900 and 461,095,640 is: 1,010,337,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,433,900 : 461,095,640 = 461,095,640 : x
  2. Step 2: Convert to fraction form
    210,433,900/461,095,640 = 461,095,640/x
  3. Step 3: Cross multiply
    210,433,900x = 461,095,640 × 461,095,640
  4. Step 4: Simplify right side
    210,433,900x = 212,609,189,227,009,600
  5. Step 5: Solve for x
    x = 212,609,189,227,009,600/210,433,900
  6. Step 6: Final answer
    x = 1,010,337,161.58

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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.