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Finding the Third Proportional to 145,710,012 and 221,548,646

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Solution

The third proportional to 145,710,012 and 221,548,646 is: 336,859,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,710,012 : 221,548,646 = 221,548,646 : x
  2. Step 2: Convert to fraction form
    145,710,012/221,548,646 = 221,548,646/x
  3. Step 3: Cross multiply
    145,710,012x = 221,548,646 × 221,548,646
  4. Step 4: Simplify right side
    145,710,012x = 49,083,802,544,433,312
  5. Step 5: Solve for x
    x = 49,083,802,544,433,312/145,710,012
  6. Step 6: Final answer
    x = 336,859,505.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.