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Finding the Third Proportional to 238,999,146 and 514,319,010

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Solution

The third proportional to 238,999,146 and 514,319,010 is: 1,106,799,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,999,146 : 514,319,010 = 514,319,010 : x
  2. Step 2: Convert to fraction form
    238,999,146/514,319,010 = 514,319,010/x
  3. Step 3: Cross multiply
    238,999,146x = 514,319,010 × 514,319,010
  4. Step 4: Simplify right side
    238,999,146x = 264,524,044,047,380,096
  5. Step 5: Solve for x
    x = 264,524,044,047,380,096/238,999,146
  6. Step 6: Final answer
    x = 1,106,799,118.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.