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Finding the Third Proportional to 164,896,713 and 358,206,930

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Solution

The third proportional to 164,896,713 and 358,206,930 is: 778,136,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,896,713 : 358,206,930 = 358,206,930 : x
  2. Step 2: Convert to fraction form
    164,896,713/358,206,930 = 358,206,930/x
  3. Step 3: Cross multiply
    164,896,713x = 358,206,930 × 358,206,930
  4. Step 4: Simplify right side
    164,896,713x = 128,312,204,700,024,896
  5. Step 5: Solve for x
    x = 128,312,204,700,024,896/164,896,713
  6. Step 6: Final answer
    x = 778,136,824.96

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