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Finding the Third Proportional to 306,880,058 and 657,290,164

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Solution

The third proportional to 306,880,058 and 657,290,164 is: 1,407,815,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,880,058 : 657,290,164 = 657,290,164 : x
  2. Step 2: Convert to fraction form
    306,880,058/657,290,164 = 657,290,164/x
  3. Step 3: Cross multiply
    306,880,058x = 657,290,164 × 657,290,164
  4. Step 4: Simplify right side
    306,880,058x = 432,030,359,691,146,880
  5. Step 5: Solve for x
    x = 432,030,359,691,146,880/306,880,058
  6. Step 6: Final answer
    x = 1,407,815,035.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.