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Finding the Third Proportional to 86,343,345 and 176,155,096.50

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Solution

The third proportional to 86,343,345 and 176,155,096.50 is: 359,386,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,343,345 : 176,155,096.50 = 176,155,096.50 : x
  2. Step 2: Convert to fraction form
    86,343,345/176,155,096.50 = 176,155,096.50/x
  3. Step 3: Cross multiply
    86,343,345x = 176,155,096.50 × 176,155,096.50
  4. Step 4: Simplify right side
    86,343,345x = 31,030,618,022,924,312
  5. Step 5: Solve for x
    x = 31,030,618,022,924,312/86,343,345
  6. Step 6: Final answer
    x = 359,386,331.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.