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Finding the Third Proportional to 98,539,770 and 232,612,383

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Solution

The third proportional to 98,539,770 and 232,612,383 is: 549,103,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,539,770 : 232,612,383 = 232,612,383 : x
  2. Step 2: Convert to fraction form
    98,539,770/232,612,383 = 232,612,383/x
  3. Step 3: Cross multiply
    98,539,770x = 232,612,383 × 232,612,383
  4. Step 4: Simplify right side
    98,539,770x = 54,108,520,724,938,688
  5. Step 5: Solve for x
    x = 54,108,520,724,938,688/98,539,770
  6. Step 6: Final answer
    x = 549,103,379.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.