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Finding the Third Proportional to 164,407,266 and 357,756,925.50

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Solution

The third proportional to 164,407,266 and 357,756,925.50 is: 778,493,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407,266 : 357,756,925.50 = 357,756,925.50 : x
  2. Step 2: Convert to fraction form
    164,407,266/357,756,925.50 = 357,756,925.50/x
  3. Step 3: Cross multiply
    164,407,266x = 357,756,925.50 × 357,756,925.50
  4. Step 4: Simplify right side
    164,407,266x = 127,990,017,743,212,544
  5. Step 5: Solve for x
    x = 127,990,017,743,212,544/164,407,266
  6. Step 6: Final answer
    x = 778,493,681.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.