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Finding the Third Proportional to 210,433,898 and 461,095,636

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Solution

The third proportional to 210,433,898 and 461,095,636 is: 1,010,337,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,433,898 : 461,095,636 = 461,095,636 : x
  2. Step 2: Convert to fraction form
    210,433,898/461,095,636 = 461,095,636/x
  3. Step 3: Cross multiply
    210,433,898x = 461,095,636 × 461,095,636
  4. Step 4: Simplify right side
    210,433,898x = 212,609,185,538,244,480
  5. Step 5: Solve for x
    x = 212,609,185,538,244,480/210,433,898
  6. Step 6: Final answer
    x = 1,010,337,153.66

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