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Finding the Third Proportional to 165,478,710 and 266,630,283

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Solution

The third proportional to 165,478,710 and 266,630,283 is: 429,612,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,478,710 : 266,630,283 = 266,630,283 : x
  2. Step 2: Convert to fraction form
    165,478,710/266,630,283 = 266,630,283/x
  3. Step 3: Cross multiply
    165,478,710x = 266,630,283 × 266,630,283
  4. Step 4: Simplify right side
    165,478,710x = 71,091,707,812,660,088
  5. Step 5: Solve for x
    x = 71,091,707,812,660,088/165,478,710
  6. Step 6: Final answer
    x = 429,612,412.45

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.