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Finding the Third Proportional to 145,137,548 and 313,363,336

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Solution

The third proportional to 145,137,548 and 313,363,336 is: 676,575,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,137,548 : 313,363,336 = 313,363,336 : x
  2. Step 2: Convert to fraction form
    145,137,548/313,363,336 = 313,363,336/x
  3. Step 3: Cross multiply
    145,137,548x = 313,363,336 × 313,363,336
  4. Step 4: Simplify right side
    145,137,548x = 98,196,580,349,048,896
  5. Step 5: Solve for x
    x = 98,196,580,349,048,896/145,137,548
  6. Step 6: Final answer
    x = 676,575,990.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.