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Finding the Third Proportional to 303,152,864.63 and 657,760,100.06

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Solution

The third proportional to 303,152,864.63 and 657,760,100.06 is: 1,427,162,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,152,864.63 : 657,760,100.06 = 657,760,100.06 : x
  2. Step 2: Convert to fraction form
    303,152,864.63/657,760,100.06 = 657,760,100.06/x
  3. Step 3: Cross multiply
    303,152,864.63x = 657,760,100.06 × 657,760,100.06
  4. Step 4: Simplify right side
    303,152,864.63x = 432,648,349,234,230,016
  5. Step 5: Solve for x
    x = 432,648,349,234,230,016/303,152,864.63
  6. Step 6: Final answer
    x = 1,427,162,332.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.