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Finding the Third Proportional to 197,207,034 and 306,575,370

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Solution

The third proportional to 197,207,034 and 306,575,370 is: 476,597,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,207,034 : 306,575,370 = 306,575,370 : x
  2. Step 2: Convert to fraction form
    197,207,034/306,575,370 = 306,575,370/x
  3. Step 3: Cross multiply
    197,207,034x = 306,575,370 × 306,575,370
  4. Step 4: Simplify right side
    197,207,034x = 93,988,457,490,636,896
  5. Step 5: Solve for x
    x = 93,988,457,490,636,896/197,207,034
  6. Step 6: Final answer
    x = 476,597,896.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.