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Finding the Third Proportional to 166,538,688.19 and 360,878,368.50

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Solution

The third proportional to 166,538,688.19 and 360,878,368.50 is: 781,999,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,538,688.19 : 360,878,368.50 = 360,878,368.50 : x
  2. Step 2: Convert to fraction form
    166,538,688.19/360,878,368.50 = 360,878,368.50/x
  3. Step 3: Cross multiply
    166,538,688.19x = 360,878,368.50 × 360,878,368.50
  4. Step 4: Simplify right side
    166,538,688.19x = 130,233,196,851,221,792
  5. Step 5: Solve for x
    x = 130,233,196,851,221,792/166,538,688.19
  6. Step 6: Final answer
    x = 781,999,655.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.