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Finding the Third Proportional to 78,146,971 and 114,879,008.50

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Solution

The third proportional to 78,146,971 and 114,879,008.50 is: 168,876,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,146,971 : 114,879,008.50 = 114,879,008.50 : x
  2. Step 2: Convert to fraction form
    78,146,971/114,879,008.50 = 114,879,008.50/x
  3. Step 3: Cross multiply
    78,146,971x = 114,879,008.50 × 114,879,008.50
  4. Step 4: Simplify right side
    78,146,971x = 13,197,186,593,943,072
  5. Step 5: Solve for x
    x = 13,197,186,593,943,072/78,146,971
  6. Step 6: Final answer
    x = 168,876,495.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.