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Finding the Third Proportional to 145,710,368 and 237,906,728.50

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Solution

The third proportional to 145,710,368 and 237,906,728.50 is: 388,439,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,710,368 : 237,906,728.50 = 237,906,728.50 : x
  2. Step 2: Convert to fraction form
    145,710,368/237,906,728.50 = 237,906,728.50/x
  3. Step 3: Cross multiply
    145,710,368x = 237,906,728.50 × 237,906,728.50
  4. Step 4: Simplify right side
    145,710,368x = 56,599,611,465,572,712
  5. Step 5: Solve for x
    x = 56,599,611,465,572,712/145,710,368
  6. Step 6: Final answer
    x = 388,439,149.82

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.