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Finding the Third Proportional to 145,137,495 and 313,363,212

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Solution

The third proportional to 145,137,495 and 313,363,212 is: 676,575,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,137,495 : 313,363,212 = 313,363,212 : x
  2. Step 2: Convert to fraction form
    145,137,495/313,363,212 = 313,363,212/x
  3. Step 3: Cross multiply
    145,137,495x = 313,363,212 × 313,363,212
  4. Step 4: Simplify right side
    145,137,495x = 98,196,502,634,956,944
  5. Step 5: Solve for x
    x = 98,196,502,634,956,944/145,137,495
  6. Step 6: Final answer
    x = 676,575,702.47

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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.