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Finding the Third Proportional to 199,005,360 and 430,607,712

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Solution

The third proportional to 199,005,360 and 430,607,712 is: 931,748,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,005,360 : 430,607,712 = 430,607,712 : x
  2. Step 2: Convert to fraction form
    199,005,360/430,607,712 = 430,607,712/x
  3. Step 3: Cross multiply
    199,005,360x = 430,607,712 × 430,607,712
  4. Step 4: Simplify right side
    199,005,360x = 185,423,001,633,874,944
  5. Step 5: Solve for x
    x = 185,423,001,633,874,944/199,005,360
  6. Step 6: Final answer
    x = 931,748,781.21

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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.