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Finding the Third Proportional to 70,506,643.64 and 154,633,539.80

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Solution

The third proportional to 70,506,643.64 and 154,633,539.80 is: 339,138,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506,643.64 : 154,633,539.80 = 154,633,539.80 : x
  2. Step 2: Convert to fraction form
    70,506,643.64/154,633,539.80 = 154,633,539.80/x
  3. Step 3: Cross multiply
    70,506,643.64x = 154,633,539.80 × 154,633,539.80
  4. Step 4: Simplify right side
    70,506,643.64x = 23,911,531,630,113,272
  5. Step 5: Solve for x
    x = 23,911,531,630,113,272/70,506,643.64
  6. Step 6: Final answer
    x = 339,138,702.33

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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.