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Finding the Third Proportional to 238,319,910 and 514,261,323

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Solution

The third proportional to 238,319,910 and 514,261,323 is: 1,109,704,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,319,910 : 514,261,323 = 514,261,323 : x
  2. Step 2: Convert to fraction form
    238,319,910/514,261,323 = 514,261,323/x
  3. Step 3: Cross multiply
    238,319,910x = 514,261,323 × 514,261,323
  4. Step 4: Simplify right side
    238,319,910x = 264,464,708,333,710,336
  5. Step 5: Solve for x
    x = 264,464,708,333,710,336/238,319,910
  6. Step 6: Final answer
    x = 1,109,704,633.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.