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Finding the Third Proportional to 285,956,097 and 428,549,962.50

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Solution

The third proportional to 285,956,097 and 428,549,962.50 is: 642,249,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,956,097 : 428,549,962.50 = 428,549,962.50 : x
  2. Step 2: Convert to fraction form
    285,956,097/428,549,962.50 = 428,549,962.50/x
  3. Step 3: Cross multiply
    285,956,097x = 428,549,962.50 × 428,549,962.50
  4. Step 4: Simplify right side
    285,956,097x = 183,655,070,358,751,392
  5. Step 5: Solve for x
    x = 183,655,070,358,751,392/285,956,097
  6. Step 6: Final answer
    x = 642,249,185.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.