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Finding the Third Proportional to 196,788,808 and 455,578,154

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Solution

The third proportional to 196,788,808 and 455,578,154 is: 1,054,691,354.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,788,808 : 455,578,154 = 455,578,154 : x
  2. Step 2: Convert to fraction form
    196,788,808/455,578,154 = 455,578,154/x
  3. Step 3: Cross multiply
    196,788,808x = 455,578,154 × 455,578,154
  4. Step 4: Simplify right side
    196,788,808x = 207,551,454,402,047,712
  5. Step 5: Solve for x
    x = 207,551,454,402,047,712/196,788,808
  6. Step 6: Final answer
    x = 1,054,691,354.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.