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Finding the Third Proportional to 196,243,070,052 and 425,978,506,423.50

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Solution

The third proportional to 196,243,070,052 and 425,978,506,423.50 is: 924,657,812,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,243,070,052 : 425,978,506,423.50 = 425,978,506,423.50 : x
  2. Step 2: Convert to fraction form
    196,243,070,052/425,978,506,423.50 = 425,978,506,423.50/x
  3. Step 3: Cross multiply
    196,243,070,052x = 425,978,506,423.50 × 425,978,506,423.50
  4. Step 4: Simplify right side
    196,243,070,052x = 181,457,687,934,795,817,943,040
  5. Step 5: Solve for x
    x = 181,457,687,934,795,817,943,040/196,243,070,052
  6. Step 6: Final answer
    x = 924,657,812,817.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.