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Finding the Third Proportional to 66,249,476 and 144,781,036

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Solution

The third proportional to 66,249,476 and 144,781,036 is: 316,403,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,249,476 : 144,781,036 = 144,781,036 : x
  2. Step 2: Convert to fraction form
    66,249,476/144,781,036 = 144,781,036/x
  3. Step 3: Cross multiply
    66,249,476x = 144,781,036 × 144,781,036
  4. Step 4: Simplify right side
    66,249,476x = 20,961,548,385,233,296
  5. Step 5: Solve for x
    x = 20,961,548,385,233,296/66,249,476
  6. Step 6: Final answer
    x = 316,403,232.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.