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Finding the Third Proportional to 210,816,194 and 314,984,259

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Solution

The third proportional to 210,816,194 and 314,984,259 is: 470,623,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816,194 : 314,984,259 = 314,984,259 : x
  2. Step 2: Convert to fraction form
    210,816,194/314,984,259 = 314,984,259/x
  3. Step 3: Cross multiply
    210,816,194x = 314,984,259 × 314,984,259
  4. Step 4: Simplify right side
    210,816,194x = 99,215,083,417,779,088
  5. Step 5: Solve for x
    x = 99,215,083,417,779,088/210,816,194
  6. Step 6: Final answer
    x = 470,623,634.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.