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Finding the Third Proportional to 164,896,704 and 358,206,912

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Solution

The third proportional to 164,896,704 and 358,206,912 is: 778,136,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,896,704 : 358,206,912 = 358,206,912 : x
  2. Step 2: Convert to fraction form
    164,896,704/358,206,912 = 358,206,912/x
  3. Step 3: Cross multiply
    164,896,704x = 358,206,912 × 358,206,912
  4. Step 4: Simplify right side
    164,896,704x = 128,312,191,804,575,744
  5. Step 5: Solve for x
    x = 128,312,191,804,575,744/164,896,704
  6. Step 6: Final answer
    x = 778,136,789.23

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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.