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Finding the Third Proportional to 97,473,943 and 214,076,963

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Solution

The third proportional to 97,473,943 and 214,076,963 is: 470,166,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,473,943 : 214,076,963 = 214,076,963 : x
  2. Step 2: Convert to fraction form
    97,473,943/214,076,963 = 214,076,963/x
  3. Step 3: Cross multiply
    97,473,943x = 214,076,963 × 214,076,963
  4. Step 4: Simplify right side
    97,473,943x = 45,828,946,087,303,368
  5. Step 5: Solve for x
    x = 45,828,946,087,303,368/97,473,943
  6. Step 6: Final answer
    x = 470,166,125.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.