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Finding the Third Proportional to 164,407,212 and 357,756,707.25

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Solution

The third proportional to 164,407,212 and 357,756,707.25 is: 778,492,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407,212 : 357,756,707.25 = 357,756,707.25 : x
  2. Step 2: Convert to fraction form
    164,407,212/357,756,707.25 = 357,756,707.25/x
  3. Step 3: Cross multiply
    164,407,212x = 357,756,707.25 × 357,756,707.25
  4. Step 4: Simplify right side
    164,407,212x = 127,989,861,582,362,208
  5. Step 5: Solve for x
    x = 127,989,861,582,362,208/164,407,212
  6. Step 6: Final answer
    x = 778,492,987.17

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