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Finding the Third Proportional to 212,737,887 and 465,832,066.50

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Solution

The third proportional to 212,737,887 and 465,832,066.50 is: 1,020,032,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,737,887 : 465,832,066.50 = 465,832,066.50 : x
  2. Step 2: Convert to fraction form
    212,737,887/465,832,066.50 = 465,832,066.50/x
  3. Step 3: Cross multiply
    212,737,887x = 465,832,066.50 × 465,832,066.50
  4. Step 4: Simplify right side
    212,737,887x = 216,999,514,179,660,416
  5. Step 5: Solve for x
    x = 216,999,514,179,660,416/212,737,887
  6. Step 6: Final answer
    x = 1,020,032,290.63

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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.